%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET910+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 04:41:15 EDT 2022

% Result   : Theorem 0.37s 0.53s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(t51_zfmisc_1,conjecture,
    ! [A,B] :
      ( set_intersection2(A,singleton(B)) = singleton(B)
     => in(B,A) ),
    input ).

fof(c7,negated_conjecture,
    ~ ! [A,B] :
        ( set_intersection2(A,singleton(B)) = singleton(B)
       => in(B,A) ),
    inference(assume_negation,status(cth),[t51_zfmisc_1]) ).

fof(c8,negated_conjecture,
    ? [A,B] :
      ( set_intersection2(A,singleton(B)) = singleton(B)
      & ~ in(B,A) ),
    inference(fof_nnf,status(thm),[c7]) ).

fof(c9,negated_conjecture,
    ? [X4,X5] :
      ( set_intersection2(X4,singleton(X5)) = singleton(X5)
      & ~ in(X5,X4) ),
    inference(variable_rename,status(thm),[c8]) ).

fof(c10,negated_conjecture,
    ( set_intersection2(skolem0001,singleton(skolem0002)) = singleton(skolem0002)
    & ~ in(skolem0002,skolem0001) ),
    inference(skolemize,status(esa),[c9]) ).

cnf(c12,negated_conjecture,
    ~ in(skolem0002,skolem0001),
    inference(split_conjunct,status(thm),[c10]) ).

fof(l30_zfmisc_1,axiom,
    ! [A,B] :
      ( set_intersection2(A,singleton(B)) = singleton(B)
     => in(B,A) ),
    input ).

fof(c4,axiom,
    ! [A,B] :
      ( set_intersection2(A,singleton(B)) != singleton(B)
      | in(B,A) ),
    inference(fof_nnf,status(thm),[l30_zfmisc_1]) ).

fof(c5,axiom,
    ! [X2,X3] :
      ( set_intersection2(X2,singleton(X3)) != singleton(X3)
      | in(X3,X2) ),
    inference(variable_rename,status(thm),[c4]) ).

cnf(c6,axiom,
    ( set_intersection2(X61,singleton(X60)) != singleton(X60)
    | in(X60,X61) ),
    inference(split_conjunct,status(thm),[c5]) ).

cnf(c11,negated_conjecture,
    set_intersection2(skolem0001,singleton(skolem0002)) = singleton(skolem0002),
    inference(split_conjunct,status(thm),[c10]) ).

cnf(c87,plain,
    in(skolem0002,skolem0001),
    inference(resolution,status(thm),[c11,c6]) ).

cnf(c90,plain,
    $false,
    inference(resolution,status(thm),[c87,c12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET910+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 02:05:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.37/0.53  # Version:  1.3
% 0.37/0.53  # SZS status Theorem
% 0.37/0.53  # SZS output start CNFRefutation
% See solution above
% 0.37/0.53  
% 0.37/0.53  # Initial clauses    : 15
% 0.37/0.53  # Processed clauses  : 28
% 0.37/0.53  # Factors computed   : 0
% 0.37/0.53  # Resolvents computed: 64
% 0.37/0.53  # Tautologies deleted: 2
% 0.37/0.53  # Forward subsumed   : 13
% 0.37/0.53  # Backward subsumed  : 0
% 0.37/0.53  # -------- CPU Time ---------
% 0.37/0.53  # User time          : 0.167 s
% 0.37/0.53  # System time        : 0.020 s
% 0.37/0.53  # Total time         : 0.187 s
%------------------------------------------------------------------------------